420432500 has 60 divisors (see below), whose sum is σ = 941023776. Its totient is φ = 164220000.

The previous prime is 420432497. The next prime is 420432527. The reversal of 420432500 is 5234024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105545 + ... + 109455.

Almost surely, 2^420432500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420432500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470511888).

420432500 is an abundant number, since it is smaller than the sum of its proper divisors (520591276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420432500 is a wasteful number, since it uses less digits than its factorization.

420432500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 420432500 is about 20504.4507363645. The cubic root of 420432500 is about 749.1442090524.

Adding to 420432500 its reverse (5234024), we get a palindrome (425666524).

The spelling of 420432500 in words is "four hundred twenty million, four hundred thirty-two thousand, five hundred".